If the figure is a cylinder, the volume is about <span>452.39. I hope I helped!</span>
Answer:
27
Step-by-step explanation:
First solve 3a - 9= 6
3a - 9 = 6 add 9
3a = 15 divide by 3
a = 5
Now that you know a is 5, put that in the other expression.
5a + 2
= 5(5) + 2
= 25 + 2
= 27
Answer:
∠ QPR = 64.5°
Step-by-step explanation:
The chord- chord angle QPR is half the sum of the arcs intercepted by the angle and its vertical angle, then
∠ QPR =
(QR + ST ) =
(98 + 31)° = 0.5 × 129° = 64.5°
Answer:
y = x - 3
Step-by-step explanation:
3x - 3y = 9
3x - 9 = 3y
x - 3 = y
y = x - 3
Then plug and chug for y by entering the given x values
If you're supposed to find the measure of the arc:
The minor arc CD has the same measure as the central angle it subtends. In this case, arc CD has measure 50º. In radians, that's
50º * (π/180 rad/º) = 5π/18 rad
If you instead meant to ask about finding the length of the arc CD, recall that arc lengths and their subtended central angles occur in a fixed ratio equal to the ratio of the circle's total circumference to 2π rad. In other words, if <em>L</em> is the length of the minor arc CD, then
<em>L</em> /(5π/18 rad) = 2π (7 cm) / (2π rad)
==> <em>L</em> = 35π/18 cm
(Notice that arc measure is given radians, while arc length is given in cm, which is why I offer two different answers here.)